Floquet-Engineered Vibrational Dynamics in a Two-Dimensional Array of Trapped Ions

Abstract

6 pags., 4 figs.We demonstrate Floquet engineering in a basic yet scalable 2D architecture of individually trapped and controlled ions. Local parametric modulations of detuned trapping potentials steer the strength of long-range interion couplings and the related Peierls phase of the motional state. In our proof of principle, we initialize large coherent states and tune modulation parameters to control trajectories, directions, and interferences of the phonon flow. Our findings open a new pathway for future Floquet-based trapped-ion quantum simulators targeting correlated topological phenomena and dynamical gauge fields.This work was supported by the Deutsche Forschungsgemeinschaft (DFG) (Grant No. SCHA 973/ 6-3) and the Georg H. Endress foundation. A. B. acknowledges support from the Ramón y Cajal Program RYC-2016-20066, CAM/FEDER Project S2018/TCS4342 (QUITEMAD-CM), and PGC2018-099169-B-I00 (MCIU/AEI/FEDER, UE). D. P. acknowledges support from PGC2018-094792-B-I00 (MCIU/AEI/FEDER, UE)